Satan cannot reproduce and make literal children.
Therefore you have proven my argument with your own words, using "son of X" meaning characteristics of X.
Noone has said that Satan makes literal children/sons. It is said of these people based on them having the characteristics of Satan that Satan is their father. That does not mean that he is literally their father nor that they are literally his children/sons. And most of all, saying that they have the characteristics of him, does not mean they are Satan himself, and likewise it does not mean that Jesus having the characteristics of Jehovah God, does not make him, Jehovah God himself.
Destruction cannot make a son, so Satan cannot make a son.
In saying, 'son of peace', 'peace' there represents God in that it is a fruit of his spirit. So, son/someone with the spirit/characteristic/nature of 'peace' would have the spirit/characteristic/nature of God, therefore called a 'son of God'.
[But the fruit of the Spirit is love, joy, peace, patience, kindness, goodness, faithfulness,]
[For all who are led by the Spirit of God are sons of God. For you did not receive the spirit of slavery to fall back into fear, but you have received the Spirit of adoption as sons, by whom we cry, “Abba! Father!”]
Likewise, just as "peace' is the spirit of God, 'destruction' represents the spirit of Satan. Those who manifest the spirit/characteristic/nature of Satan, it is said that Satan is their father, so their life by their choices/actions will lead them to destruction just like the end result is for Satan.
[John 8:44 You are from your father the Devil, and you wish to do the desires of your father.]
["Go in through the narrow gate, because broad is the gate and spacious is the road leading off into destruction, and many are going in through it; whereas narrow is the gate and cramped the road leading off into life, and few are finding it.]
[After Judas took the piece of bread, then Satan entered into him. So Jesus said to him: “What you are doing, do it more quickly.”] [While I was with them, I kept them in your name, which you have given me. I have guarded them, and not one of them has been lost except the son of destruction, that the Scripture might be fulfilled.]
[Let no one lead you astray in any way, because it will not come unless the apostasy comes first and the man of lawlessness gets revealed, the son of destruction.] [But the lawless one’s presence is by the operation of Satan with every powerful work and lying signs and wonders and every unrighteous deception for those who are perishing,]
It is not easy coming to terms with change after leaving the Watchtower. It is all people know.
For some, it is all people will cling to even after they leave. Some will never stop quoting the NWT,
I was never a JW and I have cited from more than the NWT. See here.